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Author ID: lobry.claude Recent zbMATH articles by "Lobry, Claude"
Published as: Lobry, Claude; Lobry, C.

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 527 times in 391 Documents Cited by Year
Contrôlabilité des systèmes non linéaires. Zbl 0207.15201
Lobry, C.
74
1970
The chemostat. Mathematical theory of microorganism cultures. Zbl 1384.92001
Harmand, Jérôme; Lobry, Claude; Rapaport, Alain; Sari, Tewfik
60
2017
Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation. Zbl 1343.92389
Arditi, Roger; Lobry, Claude; Sari, Tewfik
43
2015
Lotka-Volterra with randomly fluctuating environments or “how switching between beneficial environments can make survival harder”. Zbl 1358.92075
Benaïm, Michel; Lobry, Claude
42
2016
Asymmetric dispersal in the multi-patch logistic equation. Zbl 1397.92555
Arditi, Roger; Lobry, Claude; Sari, Tewfik
35
2018
Controllability of nonlinear systems on compact manifolds. Zbl 0286.93006
Lobry, C.
34
1974
On Tykhonov’s theorem for convergence of solutions of slow and fast systems. Zbl 0897.34052
Lobry, Claude; Sari, Tewfik; Touhami, Sefiane
20
1998
Extensions of the chemostat model with flocculation. Zbl 1275.92014
Fekih-Salem, R.; Harmand, J.; Lobry, C.; Rapaport, A.; Sari, T.
20
2013
Approaches to analysis with infinitesimals following Robinson, Nelson, and others. Zbl 1435.03094
Fletcher, Peter; Hrbacek, Karel; Kanovei, Vladimir; Katz, Mikhail G.; Lobry, Claude; Sanders, Sam
18
2017
A density-dependent model of competition for one resource in the chemostat. Zbl 1366.92074
Fekih-Salem, Radhouane; Lobry, Claude; Sari, Tewfik
17
2017
Une propriété generique des couples de champs de vecteurs. Zbl 0242.58007
Lobry, C.
15
1972
Persistence in ecological models of competition for a single resource. Zbl 1073.34054
Lobry, Claude; Mazenc, Frédéric; Rapaport, Alain
14
2005
Dynamical polysystems and control theory. Zbl 0279.93012
Lobry, C.
14
1973
Dynamic bifurcations. Zbl 0875.34011
Lobry, Claude
13
1991
Contrôlabilite bang bang, contrôlabilite différentiable, et perturbation des systèmes non linéaires. Zbl 0316.93007
Brunovsky, Pavol; Lobry, Claude
13
1975
Les canards de \(R^ 3\). Zbl 0489.34061
Benoit, Eric; Lobry, Claude
11
1982
Effect on persistence of intra-specific competition in competition models. Zbl 1133.92028
Lobry, Claude; Mazenc, Frederic
11
2007
Association between competition and obligate mutualism in a chemostat. Zbl 1315.92059
El Hajji, Miled; Harmand, Jérôme; Chaker, Hédia; Lobry, Claude
9
2009
Non-standard analysis and representation of reality. Zbl 1152.94332
Lobry, C.; Sari, T.
8
2008
Singular perturbations methods in control theory. Zbl 1231.34099
Lobry, Claude; Sari, Tewfik
6
2005
The complexity of stochastic differential equations. Zbl 0452.60069
Krener, Arthur J.; Lobry, Claude
5
1981
La traversée de l’axe imaginaire n’a pas toujours lieu là où l’on croit l’observer. (The traverse through the imaginary axis has not always been where supposed). Zbl 0687.58029
Lobry, C.; Wallet, G.
5
1989
Une propriété de l’ensemble des états accessibles d’un système guidable. Zbl 0207.15202
Lobry, C.
4
1971
Controlabilité de systèmes linéaires par des commandes bang-bang. Zbl 0219.93002
Lobry, C.
4
1970
Multiple steady state profiles in interconnected biological systems. Zbl 1126.92047
Dramé, A. K.; Harmand, J.; Rapaport, A.; Lobry, C.
4
2006
Erratum: Contrôlabilite des systèmes non linéaires. Zbl 0328.93004
Lobry, C.
3
1976
Controllability of non-linear control dynamical systems. Zbl 0356.93007
Lobry, C.
3
1976
Application d’un résultat de Chow à la théorie du contrôle optimal. Zbl 0192.51603
Lobry, Claude
2
1970
Quelques propriétés ’generiques’ des systèmes à commande. Zbl 0246.93017
Lobry, C.
2
1972
Contrôlabilite des systèmes non linéaires. Zbl 0476.93015
Lobry, C.
2
1981
Complete contrôlabilite de certains systèmes non linéaires. Zbl 0403.93010
Kalitine, B.; Lobry, C.
2
1979
Multiple stable equilibrium profiles in tubular bioreactors. Zbl 1187.34027
Dramé, A. K.; Lobry, C.; Harmand, J.; Rapaport, A.; Mazenc, F.
2
2008
A propos du sens des textes mathématiques un exemple: La théorie des ”bifurcations dynamiques”. Zbl 0758.00003
Lobry, Claude
1
1992
Control theory and environmental problems: Slow fast models for management of renewable ressources. Zbl 0800.92152
Lobry, C.
1
1992
What is the peak of an epidemic, and how to control it. With a preface by Nicolas Bouleau. (Qu’est-ce que le pic d’une épidémie, et comment le contrôler.) Zbl 1489.92002
Lobry, Claude
1
2021
Coexistence of three predators competing for a single biotic resource. Zbl 1402.92352
Lobry, Claude; Sari, Tewfik; Yadi, Karim
1
2011
Stability analysis of an ecological model. Zbl 1110.92052
Mazenc, F.; Lobry, C.; Rapaport, A.
1
2006
Differential equations with discontinuous right hand side. (Equations différentielles à second membre discontinu.) Zbl 1110.34004
Lobry, Claude; Sari, Tewfik
1
2005
Burning grass and floating corks. Zbl 0491.93036
Lobry, C.
1
1982
Critères de gouvernabilite des asservissements non linéaires. Zbl 0353.93014
Lobry, C.
1
1976
Analyse non standard et representation du réel. Actes de l’école d’été, Oran-Les Andalouses, 8–12 September 1984. (Nonstandard analysis and representation of the reals). Zbl 0678.26010
1
1985
Bifurcation dynamique avec bruit multiplicatif. (Dynamic bifurcation with multiplicative noise). Zbl 0683.58040
Benoit, E.; Candelpergher, B.; Lobry, C.
1
1989
Continuity of trajectories of random walks with infinitesimal steps. Zbl 0686.60069
Benoit, E.; Candelpergher, B.; Lobry, C.
1
1989
Formal controllability and physical controllability of linear systems. Zbl 0712.93004
Lobry, Claude; Delfini, Pierre
1
1990
What is the peak of an epidemic, and how to control it. With a preface by Nicolas Bouleau. (Qu’est-ce que le pic d’une épidémie, et comment le contrôler.) Zbl 1489.92002
Lobry, Claude
1
2021
Asymmetric dispersal in the multi-patch logistic equation. Zbl 1397.92555
Arditi, Roger; Lobry, Claude; Sari, Tewfik
35
2018
The chemostat. Mathematical theory of microorganism cultures. Zbl 1384.92001
Harmand, Jérôme; Lobry, Claude; Rapaport, Alain; Sari, Tewfik
60
2017
Approaches to analysis with infinitesimals following Robinson, Nelson, and others. Zbl 1435.03094
Fletcher, Peter; Hrbacek, Karel; Kanovei, Vladimir; Katz, Mikhail G.; Lobry, Claude; Sanders, Sam
18
2017
A density-dependent model of competition for one resource in the chemostat. Zbl 1366.92074
Fekih-Salem, Radhouane; Lobry, Claude; Sari, Tewfik
17
2017
Lotka-Volterra with randomly fluctuating environments or “how switching between beneficial environments can make survival harder”. Zbl 1358.92075
Benaïm, Michel; Lobry, Claude
42
2016
Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation. Zbl 1343.92389
Arditi, Roger; Lobry, Claude; Sari, Tewfik
43
2015
Extensions of the chemostat model with flocculation. Zbl 1275.92014
Fekih-Salem, R.; Harmand, J.; Lobry, C.; Rapaport, A.; Sari, T.
20
2013
Coexistence of three predators competing for a single biotic resource. Zbl 1402.92352
Lobry, Claude; Sari, Tewfik; Yadi, Karim
1
2011
Association between competition and obligate mutualism in a chemostat. Zbl 1315.92059
El Hajji, Miled; Harmand, Jérôme; Chaker, Hédia; Lobry, Claude
9
2009
Non-standard analysis and representation of reality. Zbl 1152.94332
Lobry, C.; Sari, T.
8
2008
Multiple stable equilibrium profiles in tubular bioreactors. Zbl 1187.34027
Dramé, A. K.; Lobry, C.; Harmand, J.; Rapaport, A.; Mazenc, F.
2
2008
Effect on persistence of intra-specific competition in competition models. Zbl 1133.92028
Lobry, Claude; Mazenc, Frederic
11
2007
Multiple steady state profiles in interconnected biological systems. Zbl 1126.92047
Dramé, A. K.; Harmand, J.; Rapaport, A.; Lobry, C.
4
2006
Stability analysis of an ecological model. Zbl 1110.92052
Mazenc, F.; Lobry, C.; Rapaport, A.
1
2006
Persistence in ecological models of competition for a single resource. Zbl 1073.34054
Lobry, Claude; Mazenc, Frédéric; Rapaport, Alain
14
2005
Singular perturbations methods in control theory. Zbl 1231.34099
Lobry, Claude; Sari, Tewfik
6
2005
Differential equations with discontinuous right hand side. (Equations différentielles à second membre discontinu.) Zbl 1110.34004
Lobry, Claude; Sari, Tewfik
1
2005
On Tykhonov’s theorem for convergence of solutions of slow and fast systems. Zbl 0897.34052
Lobry, Claude; Sari, Tewfik; Touhami, Sefiane
20
1998
A propos du sens des textes mathématiques un exemple: La théorie des ”bifurcations dynamiques”. Zbl 0758.00003
Lobry, Claude
1
1992
Control theory and environmental problems: Slow fast models for management of renewable ressources. Zbl 0800.92152
Lobry, C.
1
1992
Dynamic bifurcations. Zbl 0875.34011
Lobry, Claude
13
1991
Formal controllability and physical controllability of linear systems. Zbl 0712.93004
Lobry, Claude; Delfini, Pierre
1
1990
La traversée de l’axe imaginaire n’a pas toujours lieu là où l’on croit l’observer. (The traverse through the imaginary axis has not always been where supposed). Zbl 0687.58029
Lobry, C.; Wallet, G.
5
1989
Bifurcation dynamique avec bruit multiplicatif. (Dynamic bifurcation with multiplicative noise). Zbl 0683.58040
Benoit, E.; Candelpergher, B.; Lobry, C.
1
1989
Continuity of trajectories of random walks with infinitesimal steps. Zbl 0686.60069
Benoit, E.; Candelpergher, B.; Lobry, C.
1
1989
Analyse non standard et representation du réel. Actes de l’école d’été, Oran-Les Andalouses, 8–12 September 1984. (Nonstandard analysis and representation of the reals). Zbl 0678.26010
1
1985
Les canards de \(R^ 3\). Zbl 0489.34061
Benoit, Eric; Lobry, Claude
11
1982
Burning grass and floating corks. Zbl 0491.93036
Lobry, C.
1
1982
The complexity of stochastic differential equations. Zbl 0452.60069
Krener, Arthur J.; Lobry, Claude
5
1981
Contrôlabilite des systèmes non linéaires. Zbl 0476.93015
Lobry, C.
2
1981
Complete contrôlabilite de certains systèmes non linéaires. Zbl 0403.93010
Kalitine, B.; Lobry, C.
2
1979
Erratum: Contrôlabilite des systèmes non linéaires. Zbl 0328.93004
Lobry, C.
3
1976
Controllability of non-linear control dynamical systems. Zbl 0356.93007
Lobry, C.
3
1976
Critères de gouvernabilite des asservissements non linéaires. Zbl 0353.93014
Lobry, C.
1
1976
Contrôlabilite bang bang, contrôlabilite différentiable, et perturbation des systèmes non linéaires. Zbl 0316.93007
Brunovsky, Pavol; Lobry, Claude
13
1975
Controllability of nonlinear systems on compact manifolds. Zbl 0286.93006
Lobry, C.
34
1974
Dynamical polysystems and control theory. Zbl 0279.93012
Lobry, C.
14
1973
Une propriété generique des couples de champs de vecteurs. Zbl 0242.58007
Lobry, C.
15
1972
Quelques propriétés ’generiques’ des systèmes à commande. Zbl 0246.93017
Lobry, C.
2
1972
Une propriété de l’ensemble des états accessibles d’un système guidable. Zbl 0207.15202
Lobry, C.
4
1971
Contrôlabilité des systèmes non linéaires. Zbl 0207.15201
Lobry, C.
74
1970
Controlabilité de systèmes linéaires par des commandes bang-bang. Zbl 0219.93002
Lobry, C.
4
1970
Application d’un résultat de Chow à la théorie du contrôle optimal. Zbl 0192.51603
Lobry, Claude
2
1970
all top 5

Cited by 527 Authors

27 Sari, Tewfik
24 Rapaport, Alain
18 Wang, Yuanshi
13 Katz, Mikhail G.
12 Nguyen, Dang Hai
10 Fekih-Salem, Radhouane
10 Hening, Alexandru
9 Lobry, Claude
8 Harmand, Jérôme
7 Kanovei, Vladimir G.
7 Strickler, Edouard
7 Sussmann, Hector J.
7 Wu, Hong
7 Yin, George Gang
6 Abdellatif, Nahla
6 Agrachev, Andreĭ Aleksandrovich
6 Bayen, Térence
6 Benaïm, Michel
6 Elbetch, Bilel
6 Mazenc, Frédéric
5 Błaszczyk, Piotr
5 Grasse, Kevin A.
5 Jurdjevic, Velimir
5 López-de-la-Cruz, Javier
5 Nguyen, Nhu Ngoc
5 Robledo, Gonzalo
4 Bacciotti, Andrea
4 Bair, Jacques
4 Bonnard, Bernard
4 Caraballo Garrido, Tomás
4 Dellal, Mohamed
4 Fliess, Michel
4 Ginoux, Jean-Marc
4 Kühn, Christian
4 Llibre, Jaume
4 Sherry, David M.
3 Bar, Bachir
3 Barbot, Jean-Pierre
3 Bendaas, Saida
3 Berglund, Nils
3 Cloez, Bertrand
3 Dali Youcef, Manel
3 DeAngelis, Donald L.
3 Eberl, Hermann J.
3 Franco Leis, Daniel
3 Gao, Daozhou
3 Hrbáček, Karel
3 Hurth, Tobias
3 Knobloch, Edgar
3 Kunita, Hiroshi
3 Kupka, Ivan A. K.
3 Lakrib, Mustapha
3 Letellier, Christophe
3 Lou, Yuan
3 Malisoff, Michael
3 Mghazli, Zoubida
3 Nowik, Tahl
3 Sigalotti, Mario
3 Tchizawa, Kiyoyuki
3 Vakhrameev, S. A.
3 Wang, Shikun
3 Zecca, Pietro
2 Alsahafi, Salah
2 Amster, Pablo
2 Arditi, Roger
2 Augeraud-Véron, Emmanuelle
2 Ayala, Victor
2 Bao, Xiongxiong
2 Barraquand, Jérôme
2 Belhachmi, Zakaria
2 Benzekri, Tounsia
2 Bianchini, Rosa Maria
2 Bonnans, Joseph Frédéric
2 Borsali, Fethi
2 Boudjellaba, Hafida
2 Caponigro, Marco
2 Colucci, Renato
2 Coville, Jerome
2 Crespo, María
2 Crisan, Dan O.
2 Czapla, Dawid
2 Desroches, Mathieu
2 Dinis, Bruno
2 Dong, Yueping
2 Dramé, Abdou Khadry
2 El Boukhari, Nihale
2 El Hajji, Miled
2 Engel, Maximilian
2 Gaeta, Giuseppe
2 Gentz, Barbara
2 Giunashvili, Zakaria
2 Guilmeau, Thomas
2 Haddon, Antoine
2 He, Xiaoqing
2 Heinig, Peter
2 Horbacz, Katarzyna
2 Hu, Kun
2 Join, Cédric
2 Kalouptsidis, Nicholas
2 Katz, Karin Usadi
...and 427 more Authors
all top 5

Cited in 151 Serials

22 Journal of Mathematical Biology
14 Journal of Differential Equations
13 Systems & Control Letters
13 Discrete and Continuous Dynamical Systems. Series B
12 Journal of Optimization Theory and Applications
10 Journal of Mathematical Analysis and Applications
10 Automatica
9 Theoretical Population Biology
8 Mathematical Biosciences
8 Bulletin of Mathematical Biology
8 Journal of Mathematical Sciences (New York)
7 Mathematical Biosciences and Engineering
7 Journal of Theoretical Biology
6 Mathematical Systems Theory
6 Physica D
6 Chaos
5 International Journal of Control
5 SIAM Journal on Applied Mathematics
5 Journal of Nonlinear Science
5 Nonlinear Dynamics
4 Applied Mathematics and Computation
4 Applied Mathematics Letters
4 The Annals of Applied Probability
4 Applied Mathematical Modelling
4 Communications in Nonlinear Science and Numerical Simulation
4 International Journal of Biomathematics
3 Nonlinearity
3 Annales de l’Institut Fourier
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Transactions of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 MCSS. Mathematics of Control, Signals, and Systems
3 Discrete and Continuous Dynamical Systems
3 Journal of Dynamical and Control Systems
3 Stochastics and Dynamics
3 SIAM Journal on Applied Dynamical Systems
3 Mathematical Modelling of Natural Phenomena
2 International Journal of Theoretical Physics
2 Mathematical Methods in the Applied Sciences
2 Physica A
2 Applied Mathematics and Optimization
2 Journal of Soviet Mathematics
2 Mathematics and Computers in Simulation
2 Real Analysis Exchange
2 Optimal Control Applications & Methods
2 Annals of Pure and Applied Logic
2 Probability Theory and Related Fields
2 Mathematical and Computer Modelling
2 SIAM Journal on Mathematical Analysis
2 Stochastic Processes and their Applications
2 Journal of Dynamics and Differential Equations
2 Electronic Journal of Probability
2 European Journal of Control
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Matematychni Studiï
2 Foundations of Science
2 Differential Equations
2 Nonlinear Analysis. Real World Applications
2 Advances in Difference Equations
2 Journal of Biological Dynamics
2 Nonlinear Analysis. Hybrid Systems
2 Discrete and Continuous Dynamical Systems. Series S
2 Antiquitates Mathematicae
2 Mathematical Control and Related Fields
2 Nonlinear Analysis. Theory, Methods & Applications
2 Open Mathematics
2 AIMS Mathematics
1 Computers & Mathematics with Applications
1 International Journal of Engineering Science
1 International Journal of General Systems
1 Indian Journal of Pure & Applied Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Applied Mathematics and Mechanics
1 Journal of Mathematical Physics
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Acta Mathematica Vietnamica
1 Advances in Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Czechoslovak Mathematical Journal
1 Journal of Applied Probability
1 Mathematica Slovaca
1 Memoirs of the American Mathematical Society
1 Ricerche di Matematica
1 SIAM Journal on Control and Optimization
1 Theoretical Computer Science
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Topology and its Applications
1 Stochastic Analysis and Applications
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Complexity
1 Algorithmica
1 European Journal of Applied Mathematics
1 Computational Mathematics and Modeling
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
1 Journal of Global Optimization
...and 51 more Serials
all top 5

Cited in 38 Fields

184 Biology and other natural sciences (92-XX)
135 Ordinary differential equations (34-XX)
124 Systems theory; control (93-XX)
62 Dynamical systems and ergodic theory (37-XX)
62 Probability theory and stochastic processes (60-XX)
37 Partial differential equations (35-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
18 Manifolds and cell complexes (57-XX)
16 Mechanics of particles and systems (70-XX)
15 Global analysis, analysis on manifolds (58-XX)
14 Mathematical logic and foundations (03-XX)
13 Real functions (26-XX)
13 Differential geometry (53-XX)
8 Difference and functional equations (39-XX)
7 History and biography (01-XX)
7 Numerical analysis (65-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 General and overarching topics; collections (00-XX)
5 Nonassociative rings and algebras (17-XX)
5 Topological groups, Lie groups (22-XX)
5 Quantum theory (81-XX)
4 Operator theory (47-XX)
4 General topology (54-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Computer science (68-XX)
3 Fluid mechanics (76-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
2 Algebraic topology (55-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Operations research, mathematical programming (90-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Sequences, series, summability (40-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year